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Finding the Fourth Proportional to 442,178.16, 610,205.88 and 240,974

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Solution

The fourth proportional to 442,178.16, 610,205.88 and 240,974 is: 332,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,178.16 : 610,205.88 = 240,974 : x
  2. Step 2: Convert to fraction form
    442,178.16/610,205.88 = 240,974/x
  3. Step 3: Cross multiply
    442,178.16x = 610,205.88 × 240,974
  4. Step 4: Simplify right side
    442,178.16x = 147,043,751,727.12
  5. Step 5: Solve for x
    x = 147,043,751,727.12/442,178.16
  6. Step 6: Final answer
    x = 332,544.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.